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Finding the Fourth Proportional to 70,462.86, 105,701.10 and 20,541.84

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Solution

The fourth proportional to 70,462.86, 105,701.10 and 20,541.84 is: 30,814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,462.86 : 105,701.10 = 20,541.84 : x
  2. Step 2: Convert to fraction form
    70,462.86/105,701.10 = 20,541.84/x
  3. Step 3: Cross multiply
    70,462.86x = 105,701.10 × 20,541.84
  4. Step 4: Simplify right side
    70,462.86x = 2,171,295,084.02
  5. Step 5: Solve for x
    x = 2,171,295,084.02/70,462.86
  6. Step 6: Final answer
    x = 30,814.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.